OP
designabc123
Designabc - I think what you've drawn should work using those pir sensors.
Sorry to confuse you with my comment. Before I saw and posted that particular sensor, I was thinking that a typical sensor might have its 0v (black) connection common between its power in and its switched output, in which case linking the black 'in' and 'out' of both sensors means you can do without the second black wire going up the stairs! But I don't know if that is true for this particular sensor, so best to stick with your wiring.
You will need to work out, from the total length of led strip you need, and it's current draw, what the current rating for the psu should be.
Best wishes for the project
Thanks for clarifying, I think I know what you mean, as if I had the 240V PIR sensor there would have been three cables (one being shared), but I think that the 12V one needs 4 cables.
I will test out the setup "on flat ground" first to see if it actually works and share the results, in case anyone will be interested in this setup in the future.
Regarding the PSU, I have a kit that came with 15m of strip LED lights and included the PSU. I assume that their included PSU should be able to power all the LEDs, as it's in the same package. But because I'm adding the two PIR sensors, do you think that will require a higher rated PSU?